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Popular >

expand (8-5x)^3

Solution

expand

(8 - 5 x)^{3}

Solution

512 - 960 x + 600 x^{2} - 125 x^{3}

Solution steps

(8 - 5 x)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(8 - 5 x)^{3} = 8^{3} - 3 \cdot 8^{2} \cdot 5 x + 3 \cdot 8 (5 x)^{2} - (5 x)^{3}

= 8^{3} - 3 \cdot 8^{2} \cdot 5 x + 3 \cdot 8 (5 x)^{2} - (5 x)^{3}

Simplify

8^{3} - 3 \cdot 8^{2} \cdot 5 x + 3 \cdot 8 (5 x)^{2} - (5 x)^{3} : 512 - 960 x + 600 x^{2} - 125 x^{3}

= 512 - 960 x + 600 x^{2} - 125 x^{3}

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Frequently Asked Questions (FAQ)

What is expand (8-5x)^3 ?
The solution to expand (8-5x)^3 is 512-960x+600x^2-125x^3